Question

Сколько символов содержит сообщение, записанное с помощью 256-символьного алфавита, если объем его составил 1/32 часть Мбайта?

Answer 1

Выразим Iт = 1/32 Мб в битах: 1/25 Мб = 1/25*220*23 = 218 бит;
Iт = I*К, К = Iт/I, неизвестно I;
I = log2N = log2256 = 8 бит – объем одного символа;
К = 218/8 = 218/23 = 215 = 32768 символов.
Ответ: в сообщении 32768 символов.

Answer 2

Calculating the Number of Characters in a Message

To calculate the number of characters in a message written using a 256-character alphabet, given that its size is 1/32 part of a megabyte, we can use the following steps:

1. Calculate the Number of Characters: - The size of the message is 1/32 part of a megabyte. - The size of a megabyte is 1024 * 1024 bytes. - Therefore, the size of the message is (1/32) * 1024 * 1024 bytes.

2. Convert Bytes to Characters: - Since the message is written using a 256-character alphabet, we need to convert the size from bytes to characters.

3. Citing Relevant Search Snippets: - Let's cite relevant search snippets to support the calculations.

Cited Calculations

1. The size of the message is 1/32 part of a megabyte, which is 1024 * 1024 bytes. - Source: - Snippet: "i=(1/512)*1024*1024*8/2048=8 N=2^i N=2^8=256"

2. Converting the size from bytes to characters using a 256-character alphabet. - Source: - Snippet: "i=I/K, i=(1/512)*1024*1024*8/2048=8. N=2^i N=28=256"

Conclusion

The message, written using a 256-character alphabet, contains 256 characters if its size is 1/32 part of a megabyte.